s2=324576

Solution for s2=324576 equation:

s2=324576

We move all terms to the left:

s2-(324576)=0

We add all the numbers together, and all the variables

s^2-324576=0

a = 1; b = 0; c = -324576;
Δ = b2-4ac
Δ = 02-4·1·(-324576)
Δ = 1298304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1298304}=\sqrt{28224*46}=\sqrt{28224}*\sqrt{46}=168\sqrt{46}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-168\sqrt{46}}{2*1}=\frac{0-168\sqrt{46}}{2}
=-\frac{168\sqrt{46}}{2}
=-84\sqrt{46}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+168\sqrt{46}}{2*1}=\frac{0+168\sqrt{46}}{2}
=\frac{168\sqrt{46}}{2}
=84\sqrt{46}
$